1. Use the Concept of slope to find t such that the three points are collinear.
1)(1,-4),(t,3),(5,10)

2. Find an equation of the line that passes through the given point and has the specified slope, and find three additional points through which the line passes.

3. Determine the x and y intercepts of the graph of the equation algebraically.
-x+y=3

Solution Preview

1) If the points are collinear, the slope of the line joining any two points must be same.
So, we calculate the slope of line joining the points (1, -4) and (5, 10) which is given by
[10-(-4)]/(5-1)=14/4=7/2
so it must be same with the line ...

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